Question

Are the graphs of the lines in the pair parallel? Explain.

y = 4x – 4
24x – 4y = 96

Answer 1

No; the slopes are not the same

Explanation:

To see if the lines are parallel, both must be in the y=mx+b form. The first is already like that, so we must do that with the second.

24x - 4y = 96 → Subtract 24x from both sides.

-4y = -24x + 96 → Divide -4 from both sides.

y = 6x - 24 → Compare to the first line's formula y = 4x - 4

m = slope.

The slopes are different; therefore, the lines in the pair are NOT parallel.

Answer 2

They are not parallel.

Put the equation in y=mx=b format to compare. The first equation (y=4x-4) is already in the right format.

If m (slope) is the same, then the lines are parallel.

-4y=96-24x

/-4 all sides

y= - 24+ 6x

y=6x-24

y=4x-4

6 is not equal to 4, slopes are not the same. Not parallel.